Hu, Feng; Zhang, Ruifeng Well-posedness of the solution of Schwinger-Dyson equation in quantum chromodynamics. (Chinese. English summary) Zbl 1463.81020 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 1, 234-242 (2020). Summary: In this paper, we study the Schwinger-Dyson integral equation in quantum chromodynamics under the condition of the finite-temperature. Applying the theory of integral equation and functional analysis, we get the well-posedness of the solution of Schwinger-Dyson integral equation. Furthermore, we prove the existence and uniqueness of critical temperature \({T_c}\), which separates the low-temperature phase where the chiral symmetry is spontaneously broken from the high-temperature phase where the chiral symmetry restores in quantum chromodynamics. MSC: 81V05 Strong interaction, including quantum chromodynamics 45G10 Other nonlinear integral equations 81Q40 Bethe-Salpeter and other integral equations arising in quantum theory Keywords:quantum chromodynamics; Schwinger-Dyson equations; sub and super solution method PDFBibTeX XMLCite \textit{F. Hu} and \textit{R. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 1, 234--242 (2020; Zbl 1463.81020)